if the side of a equilateral triangle is increased by 1m then it's area is increased by √3m. find its side.
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Hlw mate
Let the initial side of Δ be a₁ , area A₁ and final side be a₂, area A₂
Area of triangle, A₁ = √3a₁²/4
Increasing its area by 2 cm,
New side, a₂ = a₁ +2
New area, A₂ = √3a₂²/4
but A₂ = A₁ +3√3, as t's area is increased by 3√3 meter square.
A₁ +3√3 = √3a₂²/4
√3a₁²/4 + 3√3 = √3(a₁+2)²/4
Hope it helpful
Let the initial side of Δ be a₁ , area A₁ and final side be a₂, area A₂
Area of triangle, A₁ = √3a₁²/4
Increasing its area by 2 cm,
New side, a₂ = a₁ +2
New area, A₂ = √3a₂²/4
but A₂ = A₁ +3√3, as t's area is increased by 3√3 meter square.
A₁ +3√3 = √3a₂²/4
√3a₁²/4 + 3√3 = √3(a₁+2)²/4
Hope it helpful
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